Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane
type: Item
instance of: scholarly article
title: Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane
zbMATH Open document ID: 1273.35048
DOI: 10.1186/1687-2770-2012-21
author: Yeping Li
published in: Boundary Value Problems
publication date: 2013-08-29T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 6203020
zbMATH Keywords: nonlinear diffusion waves
zbMATH Keywords: energy estimates
zbMATH Keywords: one-space dimension
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: optimal convergence rates
MaRDI profile type: Publication
Wikidata QID: Q59271290
full work available at URL: https://doi.org/10.1186/1687-2770-2012-21
OpenAlex ID: W2153117649
cites work: Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system
cites work: Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors
cites work: The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
cites work: Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species
cites work: Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
cites work: Diffusion relaxation limit of a bipolar hydrodynamic model for semiconductors
cites work: The combined relaxation and vanishing Debye length limit in the hydrodynamic model for semiconductors
cites work: Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
cites work: Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping
cites work: \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
cites work: Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping.
cites work: On the asymptotic behavior of solutions of semi-linear wave equations
cites work: Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping
cites work: Asymptotic behavior of solutions for \(p\)-system with relaxation
description: scientific article; zbMATH DE number 6203020